408224880 has 640 divisors, whose sum is σ = 1785600000. Its totient is φ = 85349376.

The previous prime is 408224867. The next prime is 408224881. The reversal of 408224880 is 88422804.

408224880 is a `hidden beast` number, since 408 + 2 + 248 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408224881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14076706 + ... + 14076734.

It is an arithmetic number, because the mean of its divisors is an integer number (2790000).

Almost surely, 2^408224880 is an apocalyptic number.

408224880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408224880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892800000).

408224880 is an abundant number, since it is smaller than the sum of its proper divisors (1377375120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

408224880 is a wasteful number, since it uses less digits than its factorization.

408224880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 408224880 is about 20204.5757193760. The cubic root of 408224880 is about 741.8221954407.

The spelling of 408224880 in words is "four hundred eight million, two hundred twenty-four thousand, eight hundred eighty".